The <span>minimum number of points through which a line is drawn is 2 points please let me know if im wrong</span>
Answer:
Total surface area of the prism =145.32 Square centimeters
Step-by-step explanation:
The given figure is a rectangular prism with the given dimensions of :
length(L)= 10.3 cm
Width(W)=2.2 cm
Height(H)=4 cm
Total surface area of the rectangular prism is:
![= 2(L*W+W*H+H*L)\\\\=2((10.3*2.2)+(2.2*4)+(4*10.3))\\\\=2(22.66+8.8+41.2)\\\\=2(72.66)\\\\=145.32cm^2\\\\](https://tex.z-dn.net/?f=%3D%202%28L%2AW%2BW%2AH%2BH%2AL%29%5C%5C%5C%5C%3D2%28%2810.3%2A2.2%29%2B%282.2%2A4%29%2B%284%2A10.3%29%29%5C%5C%5C%5C%3D2%2822.66%2B8.8%2B41.2%29%5C%5C%5C%5C%3D2%2872.66%29%5C%5C%5C%5C%3D145.32cm%5E2%5C%5C%5C%5C)
Total surface area of the prism is 145.32 Square centimeters
The product is 60.
We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30²
x²+576=900
Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324
Take the square root of each side:
√x²=√324
x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y
720=216y
Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y
This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
If one of the points is (0,36), then that shows that, that is the number where the line crosses the y-axis, so now all you have to do is plug in 36 to b in the y=mx+b formula. So the answer is B